For questions involving the application of the program Maple to mathematics. NOTE: questions which focus primarily on the program Maple and not on its applications to mathematics are not appropriate for this site.

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Program to deal with Grobner basis for ideals in universal enveloping algebras.

Is there any way to deal with calculations in ideals of the universal enveloping algebra of the current algebra $\mathfrak{sl}_2\otimes \mathbb C[t]$? Particularly, I am interested in Grobner basis ...
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186 views

Solving one Systems Equations, Research Level Questions?!

We have three equations as follows: $A_p=F \cos(\alpha+ \phi) - \mu N^{'}_{S_1} - \mu N_{S_1} - W \sin \theta = m ( \ddot x - r \ddot \theta (\sin (\gamma+ \phi)) )$ $B_p=F \cos(\alpha+ \phi) - \mu ...
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1answer
22 views

abtract taylor series Maple

I would like to solve the folowing equation at some finite order: $$\langle f_x,f_y\rangle=0, \vert f_x\vert^2=\vert f_y\vert^2$$ where $f: \mathbb{R}^2 \rightarrow\mathbb{R}^3$. In order to do so, I ...
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Finding the roots of a nonlinear equation

Hello I am trying to find the real root of this equation \begin{equation} \mathrm{x}-\mathrm{y}-\frac{\mathrm{j}\,{\left(4\,{\left(\mathrm{t}+\frac{\mathrm{a}}{\mathrm{j}}\right)}^2+\frac{4\,\mathrm{v}...
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33 views

how to calculate the implicit Cartesian equation from calabi yau threefold?

i find mathematica version about parametric form, how to calculate the implicit Cartesian equation from calabi yau threefold? ...
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36 views

Maple: Symmetries of strange modified heat-equation

I thought about the following PDE (the $u(x=0,t)$ is not a boundary condition! It really is a part of the PDE): $$\dfrac{\partial u(x,t)}{\partial t}=\alpha \dfrac{\partial^2 u(x,t)}{\partial x^2}+u(...
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53 views

Why does Maple include x in the solution of this definite integral?

I have the following function defined in Maple: $$ f(x) := (2 - a + ax^2) \sqrt{1 + 4a^2x^2} $$ And I want to calculate the definite integral of this from -1 to 1: $$ \int_{-1}^{1}{f(x)dx} $$ I do ...
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1answer
49 views

A question about the absolute value in integrals

I do really understand why we put the absolute value when integrating functions leading to $\log$ function for example: $$ \int{\dfrac{\mathrm dx}x}=\log\lvert x\rvert + C$$ , it is very common in ...
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3answers
146 views

how can I create a random matrix with specific entries

I would like to create/generate a random square $n \times n$ matrix with the following specifications: the first and the last row of the matrix are nonzeros likewise nonzero at the main diagonal ...
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3answers
48 views

How to find the integral that generates X number in Maple 17?

By a challenge of my calculus' professor, we have to find a integral that generates a 8 digit number, such as 12345678. Since there is a infinite number of integrals that could result in a 8 digit ...
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1answer
14 views

Using matrix operations to wrap arrays

I'm coding with Maple and I need an efficient way to wrap arrays of numbers to different dimensions. For example, let $A$ be the 3x5 matrix listing the numbers 1-15 in order, and $B$ be the 5x3 ...
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1answer
35 views

Maple: How to rewrite $\sqrt{1-r^2\exp(2i\theta)}$ in Cartesian form

How can I rewrite $\sqrt{1-r^2\exp(2i\theta)}$ into Cartesian form using Maple. I could do it by hand but I need this type of simplification later for far more complicated expressions. I allready ...
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17 views

Maple, symbolic integration of state equations

One example in my textbook uses Maple to calculate some analytical expressions. I have been trying to obtain the same result with Maple but have not been able to so far. The example is regarding the ...
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1answer
37 views

Falsi regula using maple

Hi I'm using falsi regula algorithm in maple. For first function it worked fine : restart; epsilon := 1e-3: f := x->x^3+x^2-3: a:= 1: b:=2: step:=infinity: while abs(step) >= ...
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1answer
17 views

Impose $f$ is function of $x$ in MAPLE

I am a bit new in MAPLE and I was trying to write a function of $x$. I define a function: $W:=W_{d_{{\it ij}}}\,W_{f_{{\it ij}}}$ I would just like to write in MAPLE $diff(W,x)$ and get: $ \left(...
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1answer
19 views

Selecting specific return value from polar

If I do this conversion to polar form input: num = polar(3+I*3) returns: num = polar(3sqrt(2),1/4*pi) How can I select the 1/4*pi part of the return value? I believe it should be possible to ...
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0answers
14 views

Multivariate transformation of random variables on Maple 17

I'm trying to workout a multivariate transformation of multiple random variables on Maple 17. I know how to work out for a single variable but couldn't get it to work for two variables. I'm trying to ...
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0answers
65 views

Find the maximum distance from origin to the surface?

I am having trouble with this problem... I need to find the maximum distance from the origin to the surface $$f:=\frac{x^4}{2^4}+\frac{y^4}{3^4}+\frac{z^4}{(\sqrt2)^4}-1$$ I think I have to use ...
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2answers
22 views

Maple complex exponential form to algebraic.

How can I easily convert complex number from exponential or trigonometric form to algebraic? Update In fact I'm trying to simplify this expression: The only way I see is to convert to ...
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1answer
42 views

Integration in Maple 16

I need to solve this integral in Maple 16, I've tried various functions such as evalf, solve, ...
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1answer
20 views

Maple: How to use partial differential operators?

I am trying to calculate the commutator $[v,w]=vw-wv$ for given infinitesimals $$v=\dfrac{\partial}{\partial x}$$ and $$w=x\dfrac{\partial}{\partial t}$$ I know how to calculate the commutator by ...
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2answers
46 views

How to load Maple package ??

I have downloaded second version of DGApplications to work with abstract Lie algebra. The file is actually .mla file and it is executale(as when we open it, a prompt ask, "do you want to execute this ...
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1answer
28 views

Calculate the Area of Toroidal

i need help with the integral of this function. $ f(x,y)=\left( x-b \right) ^{2}+{y}^{2}={a}^{2}$ Note: $0 < a < b$ I know the graphics of this function is this http://www.maplesoft.com/...
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1answer
41 views

Some frames are missing part of a surface in Maple $\texttt{implicitplot3d}$ animation

I want to create an animation of a surface when some parameter is changing, using for loop in maple to create a sequence of frames and they display them as sequence of plots. I was able to obtain an ...
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1answer
33 views

How to plot a Weierstrass function in Maple?

I'm attempting to get a good approximation of a Weierstrass function using Maple, but I have very little background in the matter. So far, I can get an approximation of $\sum_{n=0}^{643}\frac{1}{2^n}...
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1answer
22 views

Evaluating large expression with differential equations constraints

Consider the following lagrangian for a system, with $\theta$ and $r$ being the system coordinates: $L = 2m\dot{r}^2+\frac{1}{2}mr^2\dot\theta^2-gmr(3-\cos\theta)$ Which gives us the following ...
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38 views

Maple to solve differential equations

Suppose that a hole is now drilled directly from the surface of the Earth at the North Pole, all the way through the centre to the surface at the South Pole. A particle of mass m is dropped into this ...
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1answer
36 views

Formal expansion of matrices using Maple or Mathematica

I'd like to evaluate some powers of sum of matrices, say I would like to evaluate $\left(A+B\right)^{n}$ with $A$ and $B$ some matrices. Since I'd like to go to high order, I'd like to use Maple or ...
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1answer
21 views

How can I get a list of large numbers in decimal form in maple?

due to this command "For i from X to XX do x*y end do ", I need to make a list of numbers. Since "x" and "y" are so large maple gives me the list of numbers in scientific format. But I need to get ...
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2answers
27 views

How to test qualities about a number's prime factorization in maple?

I'm trying to write a code to test the following properties of a composite number $n$. To be more specific, for a given $n$ from (say) 200-300, I want to check if $n$ satisfies any of the following: ...
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1answer
19 views

How to plot two functions together in Maple

I'm given two functions (a surface and a tangent plane), and I am required to plot them together in the same graph in Maple. The surface is $$x^2y^2+y^2z^2+z^2x^2=15$$ and the tangent plane is $$z=\...
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1answer
12 views

Plotting surface within a box in Maple

I'm given a surface $$S=x^2y^2+x^2z^2+y^2z^2=9$$ and I am being asked to plot the part of this surface which lies within a box with the dimensions $$[-10,10] \times [-10,10] \times [-10,10]$$ I ...
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25 views

Solving for critical points and classification using Maple

I am trying to help a friend on an assignment using Maple. The question gives a function $$f(x,y,z)= x+\frac{y^2}{4(x-5)}+\frac{z^2}{y-3}+\frac{2}{z+5}$$ and asks to find and classify the critical ...
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Finding potential for vector field and compute line integral using Maple

I am given a question to be solved on Maple which gives me a vector field $$\vec{F}(x, y, z)=\left \langle \frac{y}{1+x^2y^2}, \frac{x}{1+x^2y^2}+\frac{z}{\sqrt(1-y^2z^2)}, \frac{y}{\sqrt(1-y^2z^2)}+\...
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1answer
29 views

Understanding how to use implicitdiff command in Maple 17

I am given a system $$\left\{\begin{matrix}xy^2+zu+v^2=3 \\ x^3z+2y-uv=2 \\ xu+yv-xyz=1 \end{matrix}\right.$$ which defines x, y, z as functions of (u,v) around (1, 1, 1, 1, 1). I've been asked to ...
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1answer
38 views

Trouble Plotting Mobius Strip in Maple 17

I'm quite new to Maple, so forgive me if this question seems a little trivial. I'm trying to plot a Mobius strip with the parametrization $$\left\{\begin{matrix} [1+tcos(s)]cos(2s)\\ [1+tcos(s)]sin(2s)...
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1answer
27 views

Trouble plotting Maple space curve given a parametrization

I am being asked to plot a curve C with parametrization $$ r(t)=\left \langle \sin(mt)\cos(nt), \sin(mt)\sin(nt), \cos(mt) \right \rangle $$ with parameters of $$0\leq t\leq 2\pi$$ with integers $m=5$,...
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Are algorithms for elimination of quantifiers over the reals practical?

I wanted to find the semialgebraic set in the $(a_0,a_1,a_2,a_3)$ space that guarantees that there exists at least one real root of the general polynomial equation of degree 4. For that purpose, ...
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2answers
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EllipticF problem with Maple

When I solve for EllipticF[1.4, 0.9] with Mathematica or ellipticF(1.4, 0.9) with Mupad I get ...
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Solving A System Of ODE's On MAPLE 17

I Have the velocity fields for two vortices that are located at two different points ${\bf{x_1}}(x_1,y_1)$, ${\bf{x_2}}(x_2,y_2)$ $\vec{V_1} = (u_1,v_1) = \frac{\Gamma_1}{2\pi}\frac{1}{(x-x_1)^2 + (...
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1answer
28 views

How to plot the differential equation in spherical coordinates with maple

I want to plot the position of Spherical pendulum. there are differential equation for spherical pendulum in Spherical Coordinates. ...
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22 views

Solving the KGE equation with a potential by changinging into ode? Kink and Antikink, graph just looks wrong..

I'm trying to find solutions to a klien gordon equation with a chosen potential. Particularly kink and antikink solutions. I'm doing this on Maple so will not give the actual results as these tend to ...
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1answer
36 views

Finding EigenVectors for a Specific EigenValue in Maple

My matrix $M$ is huge, but I know that $1$ is an eigenvalue. I need to extract the corresponding eigenvector, which corresponds to this eigenvalue $\lambda=1$. There could be $1000$ other ...
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3answers
36 views

Maple - PDE substitution

Lets say I have the heat equation: $$u_t-u_{xx}=0.$$ I want to apply the following substitution to the heat equation in Maple. $$\zeta=t/x^2$$ $$u(x,t)=x^cF(t/x^2)=x^cF(\zeta)$$ How can i ...
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1answer
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Convergence of a sequence in Maple $17$

I have the sequence $$X_n \rightarrow \frac{n^2}{n^2+31n+228}$$ With limit $X_0 = 1$ and I want to use an appropriate conditional statement in Maple $17$ to find N such that $\lvert Xn-X_0\rvert <...
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Maple Code for Ricci Flow

I am trying to generate a Maple Simulation for Ricci Flow assuming general Solids of Revolution and such. I assume that there is a surface with the following parametrization: $$S:\left\{\begin{matrix}...
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1answer
30 views

(Maple) What is meant by “_the general term_” of an infinite series?

I'm trying to finish off my assignment (which is due tomorrow), and the last question asks me to do the following on Maple. Write a procedure in Maple which calculates, in floating point form, the ...
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Plotting Elliptic Curve over Finite Field in Maple

Not sure if I might be in the wrong section, but I am looking for guidance on how to plot an elliptic curve over a finite field in Maple. I have tried looking it up but only getting good results for ...
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1answer
21 views

Using Maple to find forward error and error magnification factor.

I am trying to use Maple to easily find a forward error and error magnification factor. Is there a specific command for this?? I know to find forward error the equation is ${{\lvert{\lvert{x-x_a}\...
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1answer
53 views

Finding inverse polynomial in $\mathbb{F}_p[x]/(\psi)$ with maple

I need help with maple. I want to invert the polynomials $(x^{361}-x)^2$ and $4(x^3+2x+1)^{19}$ with the help of maple. The problem is that we are working in $\mathbb{F}_{19}[X]$ and modulo $\psi(x)=...